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Simplifying 8x + -9 + 2(4x + 3) = -2(x + 3) Reorder the terms: 8x + -9 + 2(3 + 4x) = -2(x + 3) 8x + -9 + (3 * 2 + 4x * 2) = -2(x + 3) 8x + -9 + (6 + 8x) = -2(x + 3) Reorder the terms: -9 + 6 + 8x + 8x = -2(x + 3) Combine like terms: -9 + 6 = -3 -3 + 8x + 8x = -2(x + 3) Combine like terms: 8x + 8x = 16x -3 + 16x = -2(x + 3) Reorder the terms: -3 + 16x = -2(3 + x) -3 + 16x = (3 * -2 + x * -2) -3 + 16x = (-6 + -2x) Solving -3 + 16x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + 16x + 2x = -6 + -2x + 2x Combine like terms: 16x + 2x = 18x -3 + 18x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 18x = -6 + 0 -3 + 18x = -6 Add '3' to each side of the equation. -3 + 3 + 18x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 18x = -6 + 3 18x = -6 + 3 Combine like terms: -6 + 3 = -3 18x = -3 Divide each side by '18'. x = -0.1666666667 Simplifying x = -0.1666666667
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